3. An automobile accelerates 1.77 m/sover 6.00 s to reach the freeway speed at

the end of an entrance ramp. If the car's final speed is 88.0 km/h, what was its

initial speed when it began accelerating? Express your answer in kilometers per

hour.

The initial speed of the automobile is 49.84km/hr

Explanation:

Given:

Acceleration, a = 1.77 m/s²

Time, t = 6s

Final speed, v = 88 km/h

v = 88 X 0.278 m/s

v = 24.464 m/s

Initial speed, u = ?

We know,

v = u + at

On substituting the value in the formula we get:

24.464 = u + (1.77 X 6)

24.464 = u + 10.62

u = 24.464 - 10.62 m/s

u = 13.844 m/s

Converting u = 13.844 m/s to km/hr

1 m/s = 3.6 km/hr

13.844 m/s = 13.844 X 3.6 km/hr

u = 49.84 km/hr

Therefore, the initial speed of the automobile is 49.84km/hr